1. Give an example of a situation where (you may want to go back to chapter 2 and revisit the definitions) (a) the mean is the best measure of central tendency of a population; (b) the median is the best measure of central tendency of a population; (c) the mode is the best measure of central tendency of a population. Solution Type of Variable Best measure of central tendency Nominal Mode Ordinal Median Interval/Ratio (not skewed) Mean Interval/Ratio (skewed) Median.

1. 1. Give an example of an increasing function with the set ofreal numbers as its domain and
codomain that is notone-to-one.
2. Let f(x) = 2x. What is a) f(Z)? b)f(N)? c) f(R)?
thanks!
1. Give an example of an increasing function with the set ofreal numbers as its domain and
codomain that is notone-to-one.
2. Let f(x) = 2x. What is a) f(Z)? b)f(N)? c) f(R)?
thanks!
Solution
1. Consider the function f(x) = x+1. This is anincreasing function and is also 1-1. 2. f(Z) is the
set of all even integers. f(N) is theset of all even positive integers. And, f(R) is the set ofall real
numbers (because for every real number r, we have f(r/2) =r).